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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV. - Página 162
por Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 páginas
...then i iii If AB be divided equally at C and Describe a square on CB, and proceed as in (II. 6). 7. Divide a given straight line into two parts so that the rectangle contained by them shall be the greatest possible. Use the property of last exercise, and show that the middle point is...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...and AC, together with twice the rectangle contained by AD and AC, are equal to the square on CD. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Show how a given straight...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...Observe, in suggesting only : — see the note at the beginning of Book ii.] PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let AB be the given st....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...than a semicircle is greater than a right angle. 8. Describe a square on a given straight line. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 10. If a straight line...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 páginas
...double of the squares on AC, CD. Wherefore, if a straight line &c. QED PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. Let AB be the given straight...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 páginas
...equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 3. The opposite angles...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...with the square on the line between the points of section, is equal to the square on half the line. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. The angle at the centre...
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The student's guide to the University of Durham, with information respecting ...

1880 - 144 páginas
...squares on the two parts, together with twice' *the rectangle contained by the two parts. (viii.) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. If the distances of...
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(Report).

Elizabethan club - 1880
...isosceles triangle ABC, the difference of the squares on OA and AB is equal to the rectangle OB . OC. 6. Divide a given straight line into two parts. so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 7. If a straight line...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...cannot touch another in more than one point, whether it touches on the inside or outside. 3. Divide a straight line into two parts, so that the rectangle contained by them may equal the square of the difference. 4. Describe a circle — (1.) Passing through three given points,...
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